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Cited by 1,186

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On the geometry of the string landscape and the swampland

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Ooguri, Hirosi, Vafa, Cumrun·2007·Nuclear Physics B
DOI 10.1016/j.nuclphysb.2006.10.033
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Abstract

We make a number of conjectures about the geometry of continuous moduli parameterizing the string landscape. In particular we conjecture that such moduli are always given by expectation value of scalar fields and that moduli spaces with finite non-zero diameter belong to the swampland. We also conjecture that points at infinity in a moduli space correspond to points where an infinite tower of massless states appear, and that near these regions the moduli space is negatively curved. We also propose that there is no non-trivial 1-cycle of minimum length in the moduli space. This leads in particular to the prediction of the existence of a radially massive partner to the axion. These conjectures put strong constraints on inflaton potentials that can appear in a consistent quantum theory of gravity. Our conjectures are supported by a number of highly non-trivial examples from string theory. Moreover it is shown that these conditions can be violated if gravity is decoupled.

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Metadata

Authors
Ooguri, H., & Vafa, C.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
2007-03
Volume
766
Issue
1-3
Pages
21-33
ISSN
0550-3213 (ISSN-L)
DOI
10.1016/j.nuclphysb.2006.10.033
OpenAlex
W2059177657
Cited by
1,186
References
0
FWCI
8.67
Type
journal article
Language
en
Open access
green

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